Question 147188
Smith has three times as much money as Prakash.If smith gives Rs 750 to Prakash,Prakash will have twice as much as left with smith.How much each had initially?
:
s = 3p
:
If s gives 750 to p,
:
Then we have: 
s-750  
and
p+750
:
"p will have twice as much left as s."
p+750 = 2(s-750)
p+750 = 2s - 1500
p = 2s - 1500 - 750
p = 2s - 2250
:
How much each had initially?
:
Substitute 3p for s in the above equation
p = 2(3p) - 2250
+2250 = 6p - p
p = {{{2250/(5p)}}}
p = 450 is the initial amt
and
s = 3(450) = 1350 initial amt
:
:
Check solution in the statement:
"p will have twice as much left as s.
(450 + 750) = 2(1350 - 750)
1200 = 2(600) confirms our solutions